Question: Some oil is passing through a tube of length w and radius r. The pressure difference between two ends of the tube is P. The viscosity (measure of a fluid's resistance to flow) of the oil is given by: n = [P(r2 – x²)]/4vw here v is the velocity of oil at a distance x from the axis of the tube from this relation the dimensional formula for 1ŋ is. A) [M][L][T=!] B) [M][L][T] C) [M][L*1][T¬!] D) [M][L][T²] E) [M][L²][T]
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
![Question: Some oil is passing through a tube of length w and radius r. The pressure difference
between two ends of the tube is P. The viscosity (measure of a fluid's resistance to flow) of
the oil is given by:
n = [P(r2 – x?)]/4vw
here v is the velocity of oil at a distance x from the axis of the tube from this relation the
dimensional formula for 17 is.
A) [M][L][T¯1]
B) [M][L][T]
C) [M][L~1][T=1]
D) [M][L][T²]
E) [M][L²][T]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde8cf89b-724c-408a-9e28-67be47e62c2e%2F27ddf12b-da13-48b0-b310-f2a65cccae4a%2Fwwmoxwc_processed.png&w=3840&q=75)
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